1
GATE EE 2024
Numerical
+2
-1.33

Two passive two-port networks P and Q are connected as shown in the figure. The impedance matrix of network P is $Z_P = \begin{bmatrix} 40 \Omega & 60 \Omega \\ 80 \Omega & 100 \Omega \end{bmatrix}$. The admittance matrix of network Q is $Y_Q = \begin{bmatrix} 5 \, \text{S} & -2.5 \, \text{S} \\ -2.5 \, \text{S} & 1 \, \text{S} \end{bmatrix}$. Let the ABCD matrix of the two-port network R in the figure be $\begin{bmatrix} \alpha & \beta \\ \gamma & \delta \end{bmatrix}$. The value of $\beta$ in $\Omega$ is ______________ (rounded off to 2 decimal places).

GATE EE 2024 Electric Circuits - Two Port Networks Question 1 English
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2
GATE EE 2023
Numerical
+2
-0.67

The admittance parameters of the passive resistive two-port network shown in the figure are

$${y_{11}} = 5\,S,{y_{22}} = 1\,S,{y_{12}} = {y_{21}} = - 2.5\,S$$

The power delivered to the load resistor $$R_L$$ in Watt is __________ (Round off to 2 decimal places).

GATE EE 2023 Electric Circuits - Two Port Networks Question 2 English

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3
GATE EE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Two passive two-port networks are connected in cascade as shown in figure. A voltage source is connected at port 1. GATE EE 2017 Set 1 Electric Circuits - Two Port Networks Question 15 English $$\begin{array}{l}Given:\\V_1=A_1V_2+B_1I_2\\I_1=C_1V_2+D_1I_2\\V_2=A_2V_3+B_2I_3\\I_2=C_2V_3+D_2I_3\end{array}$$

$$A_1,\;B_1,\;C_1,\;D_1,\;A_2,\;B_2,\;C_2,\;and\;D_2$$ are the generalized circuit constants. If the Thevenin equivalent circuit at port 3 consists of a voltage source VT and impedance ZT connected in series, then

A
$$V_T=\frac{V_1}{A_1A_2},\;Z_T=\frac{A_1B_2+B_1D_2}{A_1A_2+B_1C_2}$$
B
$$V_T=\frac{V_1}{A_1A_2+B_1C_2},\;Z_T=\frac{A_1B_2+B_1D_2}{A_1A_2}$$
C
$$V_T=\frac{V_1}{A_1+A_2},\;Z_T=\frac{A_1B_2+B_1D_2}{A_1+A_2}$$
D
$$V_T=\frac{V_1}{A_1A_2+B_1C_2},\;Z_T=\frac{A_1B_2+B_1D_2}{A_1A_2+B_1C_2}$$
4
GATE EE 2015 Set 1
Numerical
+2
-0
In a linear two-port network, when 10 V is applied to Port 1, a current of 4 A flows through Port 2 when it is short-circuited. When 5V is applied to Port1, a current of 1.25 A flows through a 1 Ω resistance connected across Port 2. When 3V is applied to Port 1, then current (in Ampere) through a 2 Ω resistance connected across Port 2 is _________.
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